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Finding the Third Proportional to 675.94 and 1,043.78

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Solution

The third proportional to 675.94 and 1,043.78 is: 1,611.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.94 : 1,043.78 = 1,043.78 : x
  2. Step 2: Convert to fraction form
    675.94/1,043.78 = 1,043.78/x
  3. Step 3: Cross multiply
    675.94x = 1,043.78 × 1,043.78
  4. Step 4: Simplify right side
    675.94x = 1,089,479.30
  5. Step 5: Solve for x
    x = 1,089,479.30/675.94
  6. Step 6: Final answer
    x = 1,611.80

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.